Finding the Fourth Proportional to 5,578.82, 7,696.85 and 3,902.12

Step by Step Solution

1. Step 1: Write the proportion equation
   5,578.82 : 7,696.85 = 3,902.12 : x
2. Step 2: Convert to fraction form
   5,578.82/7,696.85 = 3,902.12/x
3. Step 3: Cross multiply
   5,578.82x = 7,696.85 × 3,902.12
4. Step 4: Simplify right side
   5,578.82x = 30,033,974.33
5. Step 5: Solve for x
   x = 30,033,974.33/5,578.82
6. Step 6: Final answer
   x = 5,383.58